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Finding the Fourth Proportional to 8,460.42, 12,690.80 and 2,617.02

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Solution

The fourth proportional to 8,460.42, 12,690.80 and 2,617.02 is: 3,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.42 : 12,690.80 = 2,617.02 : x
  2. Step 2: Convert to fraction form
    8,460.42/12,690.80 = 2,617.02/x
  3. Step 3: Cross multiply
    8,460.42x = 12,690.80 × 2,617.02
  4. Step 4: Simplify right side
    8,460.42x = 33,212,064.33
  5. Step 5: Solve for x
    x = 33,212,064.33/8,460.42
  6. Step 6: Final answer
    x = 3,925.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.